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Finding the Third Proportional to 103,970 and 225,220

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Solution

The third proportional to 103,970 and 225,220 is: 487,871.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,970 : 225,220 = 225,220 : x
  2. Step 2: Convert to fraction form
    103,970/225,220 = 225,220/x
  3. Step 3: Cross multiply
    103,970x = 225,220 × 225,220
  4. Step 4: Simplify right side
    103,970x = 50,724,048,400
  5. Step 5: Solve for x
    x = 50,724,048,400/103,970
  6. Step 6: Final answer
    x = 487,871.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.